144 citations
- Sorbonne UniversitéFR302 papers
- Centre National de la Recherche ScientifiqueFR117 papers
- Université Paris CitéFR75 papers
- Institut national de recherche en sciences et technologies du numériqueFR39 papers
- Centre de Recherche en Mathématiques de la DécisionFR19 papers
- Sorbonne Paris CitéFR19 papers
- Laboratoire de Chimie ThéoriqueFR18 papers
- École PolytechniqueFR15 papers
- École Normale Supérieure - PSLFR13 papers
- Département de mathématiques et applicationsFR12 papers
- Laboratoire des signaux et systèmesFR12 papers
- Université Paris-SaclayFR12 papers
8 papers · 1 filter
Charged particle motion in a strong magnetic field: Applications to plasma confinement
Ugo Boscain, Wadim Gerner
We derive the zero order approximation of a charged particle under the influence of a strong magnetic field in a mathematically rigorous manner and clarify in which sense this appr…
Local Conservation Laws and Entropy Inequality for Kinetic Models with Delocalized Collision Integrals
Frédérique Charles, Zhe Chen, François Golse
This article presents a common setting for the collision integrals appearing in the kinetic theory of dense gases. It includes the collision integrals of the Enskog e…
Properties of the Biot-Savart operator acting on surface currents
Wadim Gerner
We investigate properties of the image and kernel of the Biot-Savart operator in the context of stellarator designs for plasma fusion. We first show that for any given coil winding…
A Lagrangian formulation for the Oldroyd B fluid and the second principle of thermodynamics
Hervé Le Dret, Annie Raoult
We show that the Oldroyd B fluid model is the Eulerian form of a Lagrangian model with an internal variable that satisfies the second law of thermodynamics under some conditions on…
Existence of optimal domains for the helicity maximisation problem among domains satisfying a uniform ball condition
Wadim Gerner
In the present work we present a general framework which guarantees the existence of optimal domains for isoperimetric problems within the class of -regular domains satisf…
A few remarks on thermomechanics
Hervé Le Dret, Annie Raoult
We develop a global setting for modeling thermo-visco-elastic materials that satisfy the principles of thermodynamics and are properly invariant. This setting encompasses many know…